(1 pt) Consider a sample space of three outcomes A,B,and C. Which of the followi
ID: 2900536 • Letter: #
Question
(1 pt) Consider a sample space of three outcomes A,B,and C. Which of the following represent legitimate probability models?
A. P(A)=0.2, P(B)=0.8, P(C)=0.2
B. P(A)=-0.1, P(B)=0.8, P(C)=0.3
C. P(A)=0.4, P(B)=0, P(C)=0.6
D. P(A)=0.6, P(B)=0.2, P(C)=0.2
E. P(A)=0.2, P(B)=0.3,P(C)=0.4
(1 pt) A ball is drawn randomly from a jar that contains 4 red balls, 4 white balls, and 7 yellow ball. Find the probability of the given event.
(a) A red ball is drawn;
The probability is :
(b) A white ball is drawn;
The probability is :
(c) A yellow ball is drawn;
The probability is :
(1 pt) Two six-sided dice are rolled (one red and one green). Some possibilities are (Red=1,Green=5) or (Red=2,Green=2) etc.
(a) How many total possibilities are there?
For the rest of the questions, we will assume that the dice are fair and that all of the possibilities in (a) are equally likely.
(b) What is the probability that the sum on the two dice comes out to be 8?
(c) What is the probability that the sum on the two dice comes out to be 9?
(d) What is the probability that the numbers on the two dice are equal?
(1 pt) Based on the spinner below answer the following:
(a) In two consecutive spins what, is the probability of a B followed by an A?
Answer:
(b) In a single spin, what is the probability of obtaining a B given the spinner did not land on a D?
Answer:
(1 pt) In a survey of 261 people, the following data were obtained relating gender to political orientation:
A person is randomly selected. What is the probability that the person is:
a) Male?
b) Male and a Democrat?
c) Male given that the person is a Democrat?
d) Republican given that the person is Male?
e) Female given that the person is an Independent?
f) Are the events Male and Republican independent? Enter yes or no .
(1 pt) Two marbles are drawn randomly one after the other without replacement from a jar that contains 9 red marbles, 3 white marbles, and 2 yellow marbles. Find the probability of the following events.
(a) A red marble is drawn first followed by a white marble.
The probability is :
(b) A white marble is drawn first followed by a white marble.
The probability is :
(c) A yellow marble is not drawn at all.
The probability is :
1 pt) A card is drawn from a regular deck of 52 cards and is then put back in the deck. A second card is drawn. What is the probability that:
(a) The first card is red.
(b) The second card is hearts given that the first is red.
(c) The first card is red and the second is hearts.
Explanation / Answer
1. C, D
2.
a) 4/15
b) 4/15
c) 7/15
3.
a) 6*6 = 36
b) 5/36
c) 4/36 = 1/9
d) 6/36 = 1/6
4.
a) 4/11*2/11 = 8/121
b) 2/11 / (1-2/11) = 2/9
5.
a) 143/261
b) 30/261
c) 30/80
d) 92/143
e) 17/38
f) No
6.
a) 9/14 * 3/13 = 27/182
b) 3/14 * 2/13 = 6/182
c) (9+3)/14 * 11/13 = 12*11/182 = 132/182
7.
a) 26/52 = 1/2
b) 13/52 = 1/4
c) 26/52 * 13/52 = 1/8
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